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The oscillation problem for second order nonlinear differential equations has
been studied in many papers. In this work the second order nonlinear differential
equation of generalized Euler type
t2u'' + f(u)tu_ + g(u) = 0 t > 0; (1)
is cosidered and some implicit necessary and sucient conditions and some explicit
suffcient conditions are given for all nontrivial solutions of this equation to be
oscillatory.
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